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Finding the Third Proportional to 86,838 and 176,089

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Solution

The third proportional to 86,838 and 176,089 is: 357,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838 : 176,089 = 176,089 : x
  2. Step 2: Convert to fraction form
    86,838/176,089 = 176,089/x
  3. Step 3: Cross multiply
    86,838x = 176,089 × 176,089
  4. Step 4: Simplify right side
    86,838x = 31,007,335,921
  5. Step 5: Solve for x
    x = 31,007,335,921/86,838
  6. Step 6: Final answer
    x = 357,071.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.